Respuesta :
Answer : The mass of copper produced will be, 11.796 grams
Explanation : Given,
Mass of [tex]Al[/tex] = 5 g
Molar mass of [tex]Al[/tex] = 26.98 g/mole
Molar mass of [tex]Cu[/tex] = 63.66 g/mole
First we have to calculate the moles of [tex]Al[/tex].
[tex]\text{Moles of }Al=\frac{\text{Mass of }Al}{\text{Molar mass of }Al}=\frac{5g}{26.98g/mole}=0.185moles[/tex]
Now we have to calculate the moles of [tex]Cu[/tex].
The balanced chemical reaction is,
[tex]2Al+3CuSO_4\rightarrow Al_2(SO_4)_3+3Cu[/tex]
From the balanced reaction we conclude that
As, 2 moles of [tex]Al[/tex] react to give 3 moles of [tex]Cu[/tex]
So, 0.185 moles of [tex]Al[/tex] react to give [tex]\frac{3}{2}\times 0.185=0.2775[/tex] moles of [tex]Cu[/tex]
Now we have to calculate the mass of [tex]Cu[/tex].
[tex]\text{Mass of }Cu=\text{Moles of }Cu\times \text{Molar mass of }Cu[/tex]
[tex]\text{Mass of }Cu=(0.2775mole)\times (63.66g/mole)=17.66g[/tex]
The theoretical yield of Cu = 17.66 grams
Now we have to calculate the actual yield of Cu.
[tex]\%\text{ yield of }Cu=\frac{\text{Actual yield of }Cu}{\text{Theoretical yield of }Cu}\times 100[/tex]
Now put all the given values in this formula, we get the actual yield of Cu.
[tex]63.4=\frac{\text{Actual yield of }Cu}{17.66}\times 100[/tex]
[tex]\text{Actual yield of }Cu=11.796g[/tex]
Therefore, the mass of copper produced will be, 11.796 grams
